What is the Greatest Common Factor of 37020 and 37030?

Greatest common factor (GCF) of 37020 and 37030 is 10.

GCF(37020,37030) = 10

We will now calculate the prime factors of 37020 and 37030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37020 and 37030.

How to find the GCF of 37020 and 37030?

We will first find the prime factorization of 37020 and 37030. After we will calculate the factors of 37020 and 37030 and find the biggest common factor number .

Step-1: Prime Factorization of 37020

Prime factors of 37020 are 2, 3, 5, 617. Prime factorization of 37020 in exponential form is:

37020 = 2² × 3¹ × 5¹ × 617¹

Step-2: Prime Factorization of 37030

Prime factors of 37030 are 2, 5, 7, 23. Prime factorization of 37030 in exponential form is:

37030 = 2¹ × 5¹ × 7¹ × 23²

Step-3: Factors of 37020

List of positive integer factors of 37020 that divides 37020 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 617, 1234, 1851, 2468, 3085, 3702, 6170, 7404, 9255, 12340, 18510

Step-4: Factors of 37030

List of positive integer factors of 37030 that divides 37020 without a remainder.

1, 2, 5, 7, 10, 14, 23, 35, 46, 70, 115, 161, 230, 322, 529, 805, 1058, 1610, 2645, 3703, 5290, 7406, 18515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37020 and 37030. The biggest common factor number is the GCF number.
So the greatest common factor 37020 and 37030 is 10.

Also check out the Least Common Multiple of 37020 and 37030